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Finding the Third Proportional to 65,169.56 and 136,900.13

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Solution

The third proportional to 65,169.56 and 136,900.13 is: 287,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,169.56 : 136,900.13 = 136,900.13 : x
  2. Step 2: Convert to fraction form
    65,169.56/136,900.13 = 136,900.13/x
  3. Step 3: Cross multiply
    65,169.56x = 136,900.13 × 136,900.13
  4. Step 4: Simplify right side
    65,169.56x = 18,741,644,225.02
  5. Step 5: Solve for x
    x = 18,741,644,225.02/65,169.56
  6. Step 6: Final answer
    x = 287,582.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.